Answer:
Option A
4.59
Explanation:
The given triangle is a right triangle
The known angle measures are 74° and 90°
The other angle opposite side x = 180 - (74 + 90) = 16°
(Or we could simply use 90° - 74° since the sum of the non-right angles must be 90°)
The relationship between the side opposite the angle 16°, namely x and the side adjacent to the angle 16° namely the side of length 16 is given by
tan(16°) = x/16
tan(16°) = 0.286745
=> 0.286745 = x/16
=> x = 16 x 0.286745
=> x = 4.5879
Rounded to two decimal places that would be 4.59 which is Option A